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Writing Linear Equations Given Two Points
Writing Linear Equations Given Two Points
When given two points (x1, y1) and (x2, y2) , follow these steps to write the equation of the line:
Let’s say we have two points: (1, 7) and (4, 19).
Find the slope(m) using the slope formula:
3. Use the slope and one of the points in the slope intercept form:
Y = mx + b
7 = 4(1) + b
7 = 4 + b
b = 3
The equation of the line equals: y = 4x + 3
4. This also works with the point-slope form. Observe:
y - y1 = m(x - x1)
y - 7 = 4(x - 1) Distribute the right side of the equation
y - 7 = 4x - 4 Add 7 to both sides of the equation
Y = 4x - 4 + 7 Simplify
The equation of the line equals: Y = 4x + 3
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